There can be only one diagram of a net associated with each three-dimensional figure. Group of answer choices True False

The equation of the locus of the moving point that maintains a distance of 4 units from the X-axis is y = ±4, representing two parallel horizontal lines.

To find the equation of the locus of a point that always maintains a distance of 4 units from the X-axis, let's analyze the given information.

Let P(x, y) be the moving point and Q(x, 0) be the fixed point on the X-axis. The distance between P and Q is denoted by PQ. According to the problem, PQ is always 4 units.

Using the distance formula, we have:

PQ² = (x - x)² + (y - 0)²

Since the x-coordinate of both P and Q is the same (x - x = 0), the equation simplifies to:

PQ² = y²

Substituting the value of PQ as 4 units:

4² = y²

16 = y²

Taking the square root of both sides:

\(\sqrt{16 } = \sqrt{y^2}\)

±4 = y

Therefore, the y-coordinate of the moving point P can be either positive or negative 4, giving us two possible solutions for the y-coordinate.

Hence, the locus of the moving point P that maintains a distance of 4 units from the X-axis is given by the equation:

y = ±4

This equation represents two horizontal lines parallel to the X-axis, with y-coordinates at +4 and -4. Any point (x, y) on these lines will always be at a constant distance of 4 units from the X-axis.

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Answer:

3.

..2330

Step-by-step explanation:

The slope of the line is 3

When doing slope, it is rise over run. Look at 2 points that connect and figure how much they rise and how much they run. Rise 3 run 1 = 3/1

The initial amount (a) in the given exponential function is 1.50. The decay factor (b) is 0.93.

In exponential functions of the form y = ab^x, 'a' represents the initial amount and 'b' represents the decay factor. The decay factor is the amount by which the initial amount reduces over time.

To break down the decay factor (b) into (1-r), we need to first find the value of 'r'. The formula for finding the decay rate (r) in exponential functions is:
r = 1 - (b^(1/n))
where 'n' represents the number of time periods.
In this case, we don't have information about the number of time periods. So, let's assume that the function represents exponential decay over a period of one time period. Therefore, n = 1.
r = 1 - (0.93^(1/1))
r = 1 - 0.93
r = 0.07
So, the decay rate (r) is 0.07 or 7% (as a percentage).
Now, we can break down the decay factor (b) into (1-r):
b = 1 - r
b = 1 - 0.07
b = 0.93
Therefore, the initial amount (a) in the given exponential function is 1.50, the decay factor (b) is 0.93, and the decay rate (r) is 7% (or 0.07).

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The volume of the cone when there is variation constant  is V = 0.283 ft³

A ratio that depicts the relationship among the independent variable (x) and thus the dependent variable is known as a constant of variation (k) (y). In the event that each of these variables have known values, it can be calculated by dividing y by x.

The variation is written as:

V = kAh

In which

K is constant of proportionality

Volume V= 12.5 ft³

Area of base of the cone A: 15 ft²

Height of the cone h: 212 ft.

Put the values:

12 .5= K × 15×212

K = 12.5/(15×212)

K = 0.00393

For the base (area) is 12 ft² and having height is 6 ft

V = kAh

Put the new values.

V = 0.00393× 12×6

V = 0.283 ft³

Thus, the volume of the cone when there is variation constant is V = 0.283 ft³

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Answer:

B

Step-by-step explanation:

(x-8)^2=(x-8)(x-8)=x^2-8x-8x+64=x^2-16x+64

Answer:

x2 − 16x + 64; is a polynomial

The value of h is -1.5 if the graph shows the function f(x)= |x-h| + K or f(x) = |x + 1.5| - 3.5.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a function:

f(x) = |x - h| + k is shown in the graph.

The above function is a transformation of a parent function:

F(x) = |x|

After applying transformation we get:

f(x) = |x + 1.5| - 3.5

On comparing:

h = -1.5

k = -3.5

Thus, the value of h is -1.5 if the graph shows the function f(x)= |x-h| + K or f(x) = |x + 1.5| - 3.5.

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A critical value, z subscript alpha (zα), denotes the boundary or cutoff point for a statistical test where the level of significance, also known as alpha (α), is set.

A critical value, z subscript alpha (zα), denotes the value at which the probability of observing a test statistic in the tail(s) of the sampling distribution equals the pre-determined significance level (alpha).

The critical value can be defined as the value that is compared with the parameter value in the hypothesis test to determine whether the null hypothesis will be rejected. If the value of the parameter is less than the critical value, the null hypothesis is rejected.

However, if the measured value is higher than the critical value, reject the null hypothesis and accept the alternative hypothesis. In other words, cropping divides the image into acceptable and unacceptable areas. If the value of the index falls within the rejection range, the rejection of the fact is rejected, otherwise the negative hypothesis is rejected.

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Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:

(1, 6.71)

Step-by-step explanation:

I'm assuming that you need to solve this by substitution or elimination since you didn't include any context in your question, just the equations.

To solve this by elimination, first, decide on a variable you want to get rid of / cancel out. I chose y. To do this, you need to find the least common multiple (LCM) of 7 and 5, which is 35. Now, multiply the top equation, 21x + 7y = 42, by -5. Multiply the bottom equation, -5x + 5y = 10, by 7. Make sure when you multiply that you either make the 5 or the 7 negative so you can cancel out y. I chose to make 5 negative.

After you multiply by the -5 and the 7, rewrite your new equations:

-105x - 35y = -210

-35x + 35y = 70

Now, add the two equations together. When you do this, the y's cancel out and you're left with -140x = -140. Now, divide both sides by -140, and you're left with x = 1. Plug the value of x into one of your original equations. I chose the bottom equation, -5x + 5y = 10.

-5(1) + 7y = 42   ----->   -5 + 7y = 42.

Add -5 to both sides, which gives you 7y = 47. Divide both sides by 7, which gives you y = 6.71.

The last step is to put the values of x and y into a point: (1, 6.71).

Hope this helps!

So

Diagonals of Rhombus intercect at 90°.

So

Using angle sum property

\(\\ \tt\longmapsto 90+27+<RUS=180\)

\(\\ \tt\longmapsto <RUS=180-117=63°\)

Answer:

Step-by-step explanation:

The diagonals of the kite are perpendicular: RT ⊥ SU

RT is angle bisector of ∠SRU

∠RSU and ∠RUS are equal angles and are complementary with ∠SRT:

at the beginning of the 9th year, meaning at the end of the 8th year, or we can say 8 years later.

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4600\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &8 \end{cases} \\\\\\ A = 4600[1+(0.03)(8)] \implies A = 4600(1.24) \implies A = 5704\)

Answer:

b

Step-by-step explanation:

The expression in terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

hD = m

To solve for D make the subject as D

As we know the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Divide by h on both the sides:

hD/h = m/h

Here h ≠ 0

D = m/h

Thus, the expression in  terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.

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The first step here is to write out this question as a proper algebraic expression. That means you assign a letter to the question mark and you now have;

4/6 = y * 1/6

(Note that the symbol * represents the multiplication sign)

y * 1/6 can be re-written as y/6 since it is actually y/1 * 1/6

Therefore you now have;

4/6 = y/6

Cross multiply and you now have,

4 * 6 = y * 6

24 = 6y

Divide both sides of the equation by 6 (to eliminate the 6 on the right hand side)

4 = y

Therefore the number that should be in the question mark is 4.

Answer:

Step-by-step explanation:

QWEQEQWEQEQEQEQ

Answer:

Step-by-step explanation:

\(V=48,w=\frac{2}{3} l,h=\frac{1}{3} l,l=l\)

\(V=whl\)

\(48=\frac{2}{3} l\times \frac{1}{3} l \times l\)

\(48=\frac{2}{9} l^3\)

\(l^3=216\)

\(l=\sqrt[3]{216}\)

\(l=6\)

So length = 6m, width = 4m, height = 2m

Area of base = length x width = 24\(m^2\)

A binomial probability distribution with p = 0.3 is c. positively skewed.

A binomial probability distribution with p = 0.3 is positively skewed. This means that the distribution is skewed to the right. In a binomial distribution, the skewness is determined by the value of p, which represents the probability of success in each trial. When p is less than 0.5, as in this case (p = 0.3), the distribution tends to be positively skewed.

The correct answer is c. positively skewed.

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Step-by-step explanation:

Between x = -5 to x = -1 the graph is positive ( > 0)   at -5 and -1 it is EQUAL to zero...so those numbers are not included

(-5,-1)    

The domain on which the graph of a function is positive involves finding the x-values for which the function's output is greater than zero. This can be visualized by identifying where on the graph the curve is situated above the x-axis.

The domain on which the graph of f(x) is positive is the set of x-values for which the y-values (the outputs of the function) are greater than zero.

So, for each point (x, y) on the graph, if y is larger than zero that means f(x) is positive. To find out where this is the case, simply look at the graph and identify where the curve lies above the x-axis. These will be the x-values that make f(x) positive.

For example, if the plot of the function is above the X-axis between interval a and b, then the domain on which f(x) is positive is the interval (a, b).

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Answer:

2.3

Step-by-step explanation:

A parking sign is in the shape of a square. The area in square centimeters, is given by the equation: l^(2)=400 The length, l, of one side of the sign is  20 centimeters.

The equation l^2 = 400 represents the relationship between the length of one side of the square (l) and its area. To find the length of one side, we need to solve for l. In this case, we can take the square root of both sides of the equation to isolate l.

Taking the square root of 400, we get l = √400 = 20.

Therefore, the length of one side of the parking sign is 20 centimeters.

By substituting the value of l back into the equation, we can verify that it satisfies the equation: (20)^2 = 400, which is true.

Hence, the length of one side of the square parking sign is 20 centimeters.

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The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

The if statement evaluates the test expression inside the parenthesis ().

If the test expression is evaluated to true, statements inside the body of if are executed.

If the test expression is evaluated to false, statements inside the body of if are not executed.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

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In conditional statements, the part of the statement following 'if' is called the antecedent.

The antecedent is the condition that needs to be true for the consequent to occur.

The consequent is the part of the statement that follows 'then.'

An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.

It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is

required to establish what or to whom a pronoun in a sentence is referring.

In summary, a conditional statement is structured as "if (antecedent) then (consequent)."

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Answer:

The answers final

Simplify the expression

-2+6x+1/2x^2

Factor the expression

1/2x(-4+12x+x^2)

Step-by-step explanation:

I hope it will help you :)

Answer:

120

Step-by-step explanation:

the angle.of all of these is 180 and 35+25+X=180..

60+X=180...... X=120

The measure of angle D is equivalent to 120 degrees.

A triangle is a two - dimensional figure with three sides and three angles.

The sum of the angles of the triangle is equal to 180 degrees.

∠A + ∠B + ∠C = 180°

Given is that the measure of angle B is 25° and the measure of angle C is 35°.

For the triangle, we can write the measure of angle D as -

∠B + ∠C + ∠D = 180°

25° + 35° + ∠D = 180°

∠D = 180° - 60°

∠D = 120°

Therefore, the measure of angle D is equivalent to 120 degrees.

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Answer: To find the percentage of people with an IQ score less than 117, we need to calculate the z-score first. The z-score measures how many standard deviations an individual score is from the mean in a normal distribution.

The z-score formula is given by:

z = (x - μ) / σ

Where:

Let's calculate the z-score:

Now, we need to find the percentage of people with a z-score less than 1.1333. We can look up this value in the standard normal distribution table (also known as the Z-table) or use statistical software/tools.

Using the Z-table, we find that the percentage of people with a z-score less than 1.1333 is approximately 0.8708, or 87.08% (rounded to the nearest hundredth).

Therefore, approximately 87.1% of people have an IQ score less than 117.

The answer is A. 1 1/4. The way to figure it out it to add the 1/4 to the 3/4 that is one cup and then you have 1/4 leftover.

Hope this helps :)

7 + 7 + 7 + 7 + 7​ means 7 is added 5 times

It could be written as

5(7)

7 x 5 and

7 . 5

But it can not be written as 7^5 because 7^5 means 7 x 7 x 7 x 7 x 7

Hence, 7^5 does not represent the expression 7 + 7 + 7 + 7 + 7​

This makes the correct option to be the third option. That is 7^5

Answer:

  see attached

Step-by-step explanation:

You have done the hard part: finding the vertex.

__

The leading coefficient is the coefficient of the x^2 term. It is +1, a positive number, so the parabola opens upward.

__

The x-coordinate of the vertex for a parabola described by ...

  f(x) = ax² +bx +c

is ...

  x = -b/(2a)

For this parabola, a=1, b=6, c=2, and the x-coordinate of the vertex is ...

  x = -6/(2(1)) = -3

The value of the function at that point is ...

  f(-3) = (-3)² +6(-3) +2 = 9 -18 +2 = -7

The coordinates of the vertex are ...

  (-3, -7)

__

The axis of symmetry is the vertical line through the vertex. Its equation will be ...

  x = -3

__

Some points on the graph can be found by choosing x-values near the vertex value. They will be symmetrical about the axis of symmetry. When the leading coefficient is 1, the y-values will increase above the vertex point by the square of the x-distance from the vertex. The point at x= (-3 +2) will be at y = (-7 +(2²)), or (x, y) = (-1, -3). The symmetrical point is (-5, -3).

Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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A sampling technique used when groups are defined by their geographical location is cluster sampling. Hence, option A is correct.

Sampling technique refers to the method of selecting or choosing members from the given set of population.

Under cluster sampling method, population is divided or splitted into groups. The key objective is to minimize the cost and time taken.

For example: If a NGO wants to study the rural communities, the state is divided into small groups also known as clusters. Instead of visiting and studying all the locations a random cluster will be choosen and studied. Minimizing time and cost involved. However, it contains more sampling error as it might not represent the entire population accurately.

Therefore, Option A is the correct answer.

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